Respuesta :

Answer:

6 & -10

Step-by-step explanation:

Given :

  • f(x) = (x+2)² - 64

And we need to find the Zeroes of the given function .For that equate the polynomial with 0 , we have ,

[tex]:\implies[/tex] f(x) = 0

[tex]:\implies[/tex] ( x + 2 )² - 64 = 0

[tex]:\implies[/tex] ( x + 2)² = 64

[tex]:\implies[/tex] ( x + 2 ) = 64

[tex]:\implies[/tex] ( x + 2) = ± 8

[tex]:\implies[/tex] x = -2 ±8

[tex]:\implies[/tex] x = -10 , 6

Hence the value of 6 and -10 .

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